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Many scenarios where agents with restrictions compete for resources can be cast as maximum matching problems on bipartite graphs. Our focus is on resource allocation problems where agents may have restrictions that make them incompatible…

Artificial Intelligence · Computer Science 2022-09-13 Yohai Trabelsi , Abhijin Adiga , Sarit Kraus , S. S. Ravi

We investigate the power of randomized algorithms for the maximum cardinality matching (MCM) and the maximum weight matching (MWM) problems in the online preemptive model. In this model, the edges of a graph are revealed one by one and the…

Data Structures and Algorithms · Computer Science 2015-07-03 Ashish Chiplunkar , Sumedh Tirodkar , Sundar Vishwanathan

We consider the problem of allocating indivisible goods fairly among n agents who have additive and submodular valuations for the goods. Our fairness guarantees are in terms of the maximin share, that is defined to be the maximum value that…

Computer Science and Game Theory · Computer Science 2020-04-07 Siddharth Barman , Sanath Kumar Krishnamurthy

We study multiwinner elections with approval-based preferences. An instance of a multiwinner election consists of a set of alternatives, a population of voters---each voter approves a subset of alternatives, and the desired committee size…

Computer Science and Game Theory · Computer Science 2019-10-15 Piotr Skowron

We consider the fair division of indivisible items among $n$ agents with additive non-negative normalized valuations, with the goal of obtaining high value guarantees, that is, close to the proportional share for each agent. We prove that…

Computer Science and Game Theory · Computer Science 2026-02-13 Sushmita Gupta , Pallavi Jain , Sanjay Seetharaman , Meirav Zehavi

We consider the Stochastic Matching problem, which is motivated by applications in kidney exchange and online dating. In this problem, we are given an undirected graph. Each edge is assigned a known, independent probability of existence and…

Data Structures and Algorithms · Computer Science 2020-10-19 Marek Adamczyk , Brian Brubach , Fabrizio Grandoni , Karthik A. Sankararaman , Aravind Srinivasan , Pan Xu

We study the problem of selecting the top-k candidates from a pool of applicants, where each candidate is associated with a score indicating his/her aptitude. Depending on the specific scenario, such as job search or college admissions,…

Computers and Society · Computer Science 2021-03-08 Giorgio Barnabo' , Carlos Castillo , Michael Mathioudakis , Sergio Celis

We propose a novel and efficient algorithm for the collaborative preference completion problem, which involves jointly estimating individualized rankings for a set of entities over a shared set of items, based on a limited number of…

Machine Learning · Statistics 2016-11-16 Suriya Gunasekar , Oluwasanmi Koyejo , Joydeep Ghosh

Feature selection is one of the most fundamental problems in machine learning. An extensive body of work on information-theoretic feature selection exists which is based on maximizing mutual information between subsets of features and class…

Machine Learning · Statistics 2016-06-10 Shuyang Gao , Greg Ver Steeg , Aram Galstyan

Selecting influentials in networks against strategic manipulations has attracted many researchers' attention and it also has many practical applications. Here, we aim to select one or two influentials in terms of progeny (the influential…

Computer Science and Game Theory · Computer Science 2023-06-14 Yuxin Zhao , Yao Zhang , Dengji Zhao

Ranking and selection (R&S) aims to identify the alternative with the best mean performance among $k$ simulated alternatives. The practical value of R&S depends on accurate simulation input modeling, which often suffers from the curse of…

Machine Learning · Statistics 2025-09-09 Zaile Li , Yuchen Wan , L. Jeff Hong

The maximin share (MMS) guarantee is a desirable fairness notion for allocating indivisible goods. While MMS allocations do not always exist, several approximation techniques have been developed to ensure that all agents receive a fraction…

Computer Science and Game Theory · Computer Science 2021-05-21 Hadi Hosseini , Andrew Searns

The effort to understand network systems in increasing detail has resulted in a diversity of methods designed to extract their large-scale structure from data. Unfortunately, many of these methods yield diverging descriptions of the same…

Data Analysis, Statistics and Probability · Physics 2015-03-27 Tiago P. Peixoto

We study diversity in approval-based committee elections with incomplete or inaccurate information. We define diversity according to the Maximum Coverage problem, which is known to be $\mathsf{NP}$-complete, with a best attainable…

Computer Science and Game Theory · Computer Science 2026-05-07 Feline Lindeboom , Martijn Brehm , Davide Grossi , Pradeep Murukannaiah

We consider directed graphs over a set of n agents, where an edge (i,j) is taken to mean that agent i supports or trusts agent j. Given such a graph and an integer k\leq n, we wish to select a subset of k agents that maximizes the sum of…

Computer Science and Game Theory · Computer Science 2009-10-27 Noga Alon , Felix Fischer , Ariel D. Procaccia , Moshe Tennenholtz

We present a generalization of the maximal inequalities that upper bound the expectation of the maximum of $n$ jointly distributed random variables. We control the expectation of a randomly selected random variable from $n$ jointly…

Probability · Mathematics 2017-08-31 Jiantao Jiao , Yanjun Han , Tsachy Weissman

We investigate the possibility of an incentive-compatible (IC, a.k.a. strategy-proof) mechanism for the classification of agents in a network according to their reviews of each other. In the $ \alpha $-classification problem we are…

Computer Science and Game Theory · Computer Science 2019-11-21 Yakov Babichenko , Oren Dean , Moshe Tennenholtz

We consider the fundamental mechanism design problem of approximate social welfare maximization under general cardinal preferences on a finite number of alternatives and without money. The well-known range voting scheme can be thought of as…

Computer Science and Game Theory · Computer Science 2014-09-12 Aris Filos-Ratsikas , Peter Bro Miltersen

Random graph mixture models are now very popular for modeling real data networks. In these setups, parameter estimation procedures usually rely on variational approximations, either combined with the expectation-maximisation (\textsc{em})…

Statistics Theory · Mathematics 2010-12-09 Christophe Ambroise , Catherine Matias

The improving multi-armed bandits problem is a formal model for allocating effort under uncertainty, motivated by scenarios such as investing research effort into new technologies, performing clinical trials, and hyperparameter selection…

Machine Learning · Computer Science 2026-05-22 Avrim Blum , Marten Garicano , Kavya Ravichandran , Dravyansh Sharma